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530074584 = 23331331117
BaseRepresentation
bin11111100110000…
…100101111011000
31100221102120122000
4133212010233120
52041144341314
6124333201000
716064362644
oct3746045730
91327376560
10530074584
11252238976
12129630160
1385a85000
1450583c24
1531809209
hex1f984bd8

530074584 has 128 divisors (see below), whose sum is σ = 1596504000. Its totient is φ = 162953856.

The previous prime is 530074541. The next prime is 530074607. The reversal of 530074584 is 485470035.

530074584 is a `hidden beast` number, since 5 + 3 + 0 + 0 + 74 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473994 + ... + 475110.

Almost surely, 2530074584 is an apocalyptic number.

530074584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530074584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798252000).

530074584 is an abundant number, since it is smaller than the sum of its proper divisors (1066429416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

530074584 is a wasteful number, since it uses less digits than its factorization.

530074584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 530074584 is about 23023.3486704259. The cubic root of 530074584 is about 809.3051929260.

The spelling of 530074584 in words is "five hundred thirty million, seventy-four thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1117 1352 1404 1521 2028 2197 2234 2808 3042 3351 4056 4394 4468 4563 6084 6591 6702 8788 8936 9126 10053 12168 13182 13404 14521 17576 18252 19773 20106 26364 26808 29042 30159 36504 39546 40212 43563 52728 58084 59319 60318 79092 80424 87126 116168 118638 120636 130689 158184 174252 188773 237276 241272 261378 348504 377546 392067 474552 522756 566319 755092 784134 1045512 1132638 1510184 1568268 1698957 2265276 2454049 3136536 3397914 4530552 4908098 5096871 6795828 7362147 9816196 10193742 13591656 14724294 19632392 20387484 22086441 29448588 40774968 44172882 58897176 66259323 88345764 132518646 176691528 265037292 530074584